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Finding the Third Proportional to 89,962.31 and 192,381.75

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Solution

The third proportional to 89,962.31 and 192,381.75 is: 411,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,962.31 : 192,381.75 = 192,381.75 : x
  2. Step 2: Convert to fraction form
    89,962.31/192,381.75 = 192,381.75/x
  3. Step 3: Cross multiply
    89,962.31x = 192,381.75 × 192,381.75
  4. Step 4: Simplify right side
    89,962.31x = 37,010,737,733.06
  5. Step 5: Solve for x
    x = 37,010,737,733.06/89,962.31
  6. Step 6: Final answer
    x = 411,402.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.